Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $130,000. This distribution follows the normal distribution with...

Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $130,000. This distribution follows the normal distribution with a standard deviation of $39,000.

1. If we select a random sample of 68 households, what is the standard error of the mean?
(Round your answer to the nearest whole number.)

2. What is the likelihood of selecting a sample with a mean of at least $135,000?
(Round yourz value to 2 decimal places and final answer to 4 decimal places.)

3. What is the likelihood of selecting a sample with a mean of more than $121,000?
(Round yourz value to 2 decimal places and final answer to 4 decimal places.)